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M_n – Polynomials of Some Special Graphs

 Let  be a connected graph with vertices set  and edges set . The ordinary distance between any two vertices of  is a mapping  from  into a nonnegative integer number such that  is the length of a shortest  path. The maximum distance between two subsets  and  of   is the maximum distance between any two vertices  and  such that  belong to  and  belong to . In this paper, we take a special case of maximum distance when  consists of one vertex and  consists of  vertices, . This distance is defined by: where  is the order of  a graph .

     In this paper, we defined  – polynomials based on the maximum distance between a vertex  in  and a subset  that has vertices of a vertex set of  and  – index. Also, we find  polynomials for some special graphs, such as: complete, complete bipartite, star, wheel, and fan graphs, in addition to  polynomials of path, cycle, and Jahangir graphs. Then we determine the indices of these distances.

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Publication Date
Tue Nov 19 2024
Journal Name
Journal Of Physical Education
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Publication Date
Tue Nov 19 2024
Journal Name
Journal Of Physical Education
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Publication Date
Mon Sep 02 2019
Journal Name
Journal Of Legal Sciences
The Special Conditions for the Crime of Extradition in Accordance With International Law Provisions and Iraqi Law

The title of this research is "The Special Conditions for the Crime of Extradition in Accordance With International Law Provisions and Iraqi Law." The examination of the conditions of extradition is of paramount importance because it establishes the general provisions on the basis of which extradition is made, if such conditions are met at the time of the issuing of the extradition decision. Crimes vary according to their types, gravity and description. For this reason, the conditions for determining the crimes in which extradition is permissible have been established. These conditions are that the crime committed is of a certain gravity. The second condition is dual criminality in the requesting State and the States to be extradited; th

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Publication Date
Mon Feb 12 2024
Journal Name
Mustansiriyah Journal Of Sports Science
The effect of special exercises in restoring lost physical fitness after childbirth at ages (25-30) years

The importance of the study, which is how to use these exercises with the device in rehabilitating the flabby muscles after childbirth, which is a problem found in our society and in need of high education on it because the form of exercises does not need places designated for training such as halls or fitness halls, especially since the social woman has limited movement in which we see the responses Physiology in different ways, the woman’s body is not only subject to the day’s need for work or the need to complete hours of physical training, but she has feminist components that she must overcome, whether it is physiological or otherwise.The research sample was determined by the intentional method available from women whose age

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Publication Date
Mon Nov 16 2020
Journal Name
International Journal Of Psychosocial Rehabilitation
The effect of positive and negative flexibility exercises to develop special strength and effectiveness of 400m youth Hurdlers

The research problem lies in: The use of positive and negative flexibility exercises to develop the special strength of the 400m hurdles player, that some young people face weakness and a problem in performance, which requires the need to prepare special exercises for physical and skill numbers using the types of exercises that have resilient strength, flexibility and have the effect on developing and determining the level of physical and skill performance. To develop 400m hurdles, special strength, explosive power and the characteristic velocity of arms and legs. Research aims: 1. Preparing positive and negative flexibility exercises to develop the special force and the effectiveness of 400m youth barriers. 2. Identify the effect of exerci

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Publication Date
Sun Mar 19 2023
Journal Name
Journal Of Educational And Psychological Researches
Special Education Teachers’ Perceptions of the Factors lead to School Bullying of Students with Intellectual Disabilities in Asir

Abstract

This study aims to identify the most prominent factors that lead to bullying of students with intellectual disabilities in primary and middle schools from the perspectives of special education teachers. A quantitative descriptive approach was utilized. A questionnaire was used as a tool for data collection. The sample consisted of (72) male and female teachers from the Asir region in the Kingdom of Saudi Arabia. The results revealed the most prominent factors that lead to bullying as follows: factors associated with the school and its policies, factors associated with peers, factors associated with students with intellectual disabilities, and factors associated with general education teachers. The findin

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Publication Date
Wed Dec 01 2021
Journal Name
Journal Of Economics And Administrative Sciences
The Effectiveness of Indicators of Financial Discipline in Strengthening the Exchange Rate, with a Special Reference to Iraq

Controlling public expenditures is one of the main objectives of the public budget. The public budget often suffers from a deficit, whether in developed or developing countries, because expenditures are usually greater than the revenues generated. This requires the existence of financial rules that are adhered to by the government, which in turn leads to discipline. Fiscal policy leads to a reduction in the obligations incumbent on the government.  Adhering to the financial rules would correct the course of fiscal policy in Iraq, with the need to direct oil revenues in the years of financial abundance when global oil prices rise to sovereign funds similar to other rentier countries, which contributes to maintaining the stabi

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Publication Date
Tue Dec 01 2020
Journal Name
Baghdad Science Journal
The Numerical Technique Based on Shifted Jacobi-Gauss-Lobatto Polynomials for Solving Two Dimensional Multi-Space Fractional Bioheat Equations

This article deals with the approximate algorithm for two dimensional multi-space fractional bioheat equations (M-SFBHE). The application of the collection method will be expanding for presenting a numerical technique for solving M-SFBHE based on “shifted Jacobi-Gauss-Labatto polynomials” (SJ-GL-Ps) in the matrix form. The Caputo formula has been utilized to approximate the fractional derivative and to demonstrate its usefulness and accuracy, the proposed methodology was applied in two examples. The numerical results revealed that the used approach is very effective and gives high accuracy and good convergence.

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Publication Date
Tue Jan 01 2013
Journal Name
College Of Education Journal, Al-mustansiriyah University
Publication Date
Tue Nov 19 2024
Journal Name
Journal Mustansiriyah Of Sports Science
Self-Efficacy and its Relationship to Psychological Adjustment among Table Tennis Players with Disabilities Special Needs

The introduction and importance of the research included that physical education and its various activities are important for the disabled. The exercise of physical activities by the disabled effectively contributes to raising their level of fitness and reducing diseases caused by lack of movement. Disabled people often suffer from psychological and social problems, and this feeling may be accompanied by a high level of anxiety, a lack of self-esteem and a loss of self-confidence. Psychological adaptation is one of the concepts of sports psychology interconnected with the psychological climate, as the process that the player seeks to meet his demands and needs. Adaptation includes the pursuit of emotional balance between the individual play

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